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261066104 = 231373137251
BaseRepresentation
bin11111000111110…
…00110101111000
3200012020112100222
433203320311320
51013313103404
641523315212
76320011445
oct1743706570
9605215328
10261066104
11124401912
127351bb08
13421185b0
142695a9cc
1517dbcdbe
hexf8f8d78

261066104 has 64 divisors (see below), whose sum is σ = 540419040. Its totient is φ = 117504000.

The previous prime is 261066089. The next prime is 261066109. The reversal of 261066104 is 401660162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261066109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039979 + ... + 1040229.

Almost surely, 2261066104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261066104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270209520).

261066104 is an abundant number, since it is smaller than the sum of its proper divisors (279352936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261066104 is a wasteful number, since it uses less digits than its factorization.

261066104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 261066104 is about 16157.5401593188. The cubic root of 261066104 is about 639.1216009397.

The spelling of 261066104 in words is "two hundred sixty-one million, sixty-six thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 73 104 137 146 251 274 292 502 548 584 949 1004 1096 1781 1898 2008 3263 3562 3796 6526 7124 7592 10001 13052 14248 18323 20002 26104 34387 36646 40004 68774 73292 80008 130013 137548 146584 238199 260026 275096 447031 476398 520052 894062 952796 1040104 1788124 1905592 2510251 3576248 5020502 10041004 20082008 32633263 65266526 130533052 261066104